PYQ Vault

Day 203: CBSE Class 10 Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Quadratic Equations. Asked once: 2023

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    19
    Statement A (Assertion) : If 5+75 + \sqrt{7} is a root of a quadratic equation with rational co-efficients, then its other root is 5−75 - \sqrt{7}. Statement R (Reason) : Surd roots of a quadratic equation with rational co-efficients occur in conjugate pairs.

    Tap an option to check your answer.

  2. Question 2

    Real Numbers. Asked once: 2025

    4
    The least number which is a perfect square and is divisible by each of 16, 20 and 50, is :

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  3. Question 3

    Some Applications of Trigonometry. Asked once: 2023

    33 (b)
    A spherical balloon of radius r subtends an angle of 60∘60^\circ at the eye of an observer. If the angle of elevation of its centre is 45∘45^\circ from the same point, then prove that height of the centre of the balloon is 2\sqrt{2} times its radius.

  4. Question 4

    Surface Areas and Volumes. Asked once: 2024

    35 (a)
    A solid iron pole consists of a solid cylinder of height 200 cm and base diameter 28 cm, which is surmounted by another cylinder of height 50 cm and radius 7 cm. Find the mass of the pole, given that 1 cm3\text{cm}^3 of iron has approximately 8 g mass.

  5. Question 5

    Triangles. Asked once: 2026

    3
    In ΔDEF\Delta DEF, AB∥EFAB \parallel EF. The value of x is :

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